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<b>consider </b><font color="Maroon" title="c2">G</font> being  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a> <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a> <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a> <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a> <a href="midsp_2.html#V1" title="MIDSP_2:attr.1">midpoint_operator</a>  <a href="algstr_0.html#L2" title="ALGSTR_0:struct.2">addLoopStr</a> , <font color="Maroon" title="c3">w</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default">the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">G</font><b> such that </b><br/><a NAME="E2:47_1_1"/><i><font color="Green" title="E36">A1</font></i>: 
<font color="Maroon" title="c3">w</font> <a href="midsp_2.html#R2" title="MIDSP_2:pred.2">is_atlas_of</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font>,<font color="Maroon" title="c2">G</font>
 <b>and </b><br/><a NAME="E3:47_1_1"/><i><font color="Green" title="E37">A2</font></i>: 
<font color="Maroon" title="c1">M</font>,<font color="Maroon" title="c2">G</font> <a href="midsp_2.html#R1" title="MIDSP_2:pred.1">are_associated_wrp</a> <font color="Maroon" title="c3">w</font>
 <b>by </b><i><a class="ref" href="midsp_2.html#T33" target="_self" title="MIDSP_2:th.33">Th33</a></i>;<br/>
<b>take </b>
 <a href="midsp_2.html#G1" title="MIDSP_2:aggr.1">AtlasStr</a>(# <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">w</font> #)
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="midsp_2.html#G1" title="MIDSP_2:aggr.1">AtlasStr</a>(# <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">w</font> #) is <a href="midsp_2.html#V3" title="MIDSP_2:attr.3">ATLAS-like</a></span><br/>

<b>thus </b><a NAME="E4:47_1_1"/>
 <a href="midsp_2.html#G1" title="MIDSP_2:aggr.1">AtlasStr</a>(# <font color="Maroon" title="c2">G</font>,<font color="Maroon" title="c3">w</font> #) is <a href="midsp_2.html#V3" title="MIDSP_2:attr.3">ATLAS-like</a>
 <b>by </b><i><a class="txt" href="#E2:47_1_1"><i><font color="Green" title="E36">A1</font></i></a>, <a class="txt" href="#E3:47_1_1"><i><font color="Green" title="E37">A2</font></i></a>, <a class="ref" href="midsp_2.html#D12" target="_self" title="MIDSP_2:def.12">Def12</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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